![]() ![]() Number of fifteenths compared to another number of fifteenths. And now, we can make a comparsion because we have a certain We need to multiply the numerator by five. I multiplied the numeratorĪnd the denominator both by the same number, whichĭoesn't change its value. So, if I multiply theĭenominator by three, I need to multiply the numerator by three. Well, to go from five toġ5, I multiply it by three. So, 2/3 I'm going to writeĪs something over 15. So, let's write 3/5 as something over 15, and let's write 2/3 as something over 15. So the easiest thing I can think of is 15, which is five times three. Would be something that is divisible by both five and three. So, five isn't a multiple of three, three isn't a multiple of five, so we need to find a common denominator. Hint, try to rewrite both of these so that they And like always, pause the video and see if you can figure this out. Let's say we want to compare three over five and we want to compare that to 2/3, two over three. This one might be a littleīit more interesting. So if 6/12 is greater than 5/12, then 2/4 is greater than 5/12, because 2/4 and 6/12 are The greater than sign, you're always going to be opening to whichever one is larger. So, 6/12 is greater than 5/12, and I always think of I have six of is twelfths, that's going to be more than I have six of something, in this case, this thing Step 3: The fraction with the larger numerator is the larger fraction. Next, find the equivalent fraction of both fractional numbers with. Step 1: Observe the denominators of the given fractions: 6/17 and 16/17. Now, can we compare 6/12 to 5/12? Well, I have more twelfths here. Find the least common denominator or LCM of the two denominators: LCM of 4 and 8 is 8. Another way to think about it is two is half of four, six is half of 12. If you multiply the denominator by three, you multiply the numeratorīy three, as well. So, two pieces would then turn into three times as many pieces. As students consider the question of greater than or less than, comparing fractions becomes as simple as picking the right symbol. ![]() If you have twelfths, you now have three times as many sections that you've divided something into. So one way to think about it, can I write two over four as something over 12? Well, let's think about it. We can rewrite these so that we can have the same denominator. Not obvious which one is larger and there's several ways Is greater, 2/4 or 5/12, or maybe they are equal. Pause the video if you could figure out which one So, let's say I wanted toĬompare two over four, or 2/4, and I want to compare that Which is greater: nine-tenths or nine-ninths? (Write the fraction below.Want to do in this video is get some practice comparing fractions with different denominators. Then write the smaller fraction in lowest terms. Which fraction from exercise 2 represents the larger advertisement? (Write your answer in lowest terms.)Ĭompare two-ninths and one-sixth by using the LCD to write equivalent fractions. Which girl jogged farther?Ī magazine sells one advertisement that is seven-eighths of a page and another advertisement that is five-sixths of a page. Jill jogged for three-tenths of a mile and Jane jogged for seven-tenths of a mile. Note: To write the fraction two-thirds, enter 2/3 into the form. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. In Exercises 1 through 5, click once in an ANSWER BOX and type in your answer then click ENTER. To compare fractions with unlike denominators, use the LCD to write equivalent fractions with a common denominator then compare the numerators. Summary: In this lesson, we learned how to compare fractions with like denominators, with unlike denominators, and with like numerators. The fraction with the smaller denominator is the larger fraction. ![]() How To Compare: Look at the denominators. The larger fraction is the one with the greater numerator. How To Compare: Convert each fraction to an equivalent fraction with a common denominator. Let's look at some more examples of comparing fractions with like numerators. ![]() Remember, when comparing fractions with like numerators, the fraction with the smaller denominator is the larger fraction. Since five-thirds has the smaller denominator, it is the larger fraction. Since one-half has the smaller denominator, it is the larger fraction. Example 2:Ĭompare the fractions given below using the symbols or =. Let's look at some more examples of comparing fractions with like denominators. When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator. Since three is greater than one, three-fourths is greater than one-fourth. These fractions have like denominators, so we can compare the numerators. Example 1: Drake rode his bike for three-fourths of a mile and Josh rode his bike for one-fourth of a mile. ![]()
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